Fanout fails when summed base current exceeds the driver limit.

Fanout fails when summed base current exceeds the driver limit. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Seven half-ampere bases need seven-halves amperes

Seven base inputs at 1/2 A each sum to 7/2 A.

7⋅12 A=72 A7\cdot {1\over 2}\ \text{A}={7\over 2}\ \text{A}
Seven-base budgetThe total current bar is longer than the driver limit.base 1/2 Abase 1/2 Abase 1/2 Abase 1/2 Abase 1/2 Abase 1/2 Abase 1/2 Atotal 7/2 Alimit 3 Afail

Above the driver limit, the budget fails

The total 7/2 A is greater than the 3 A driver limit, so this fanout is rejected.

72 A>3 A{7\over 2}\ \text{A}>3\ \text{A}
Rejected fanoutThe fail label is bound to the checked current sum.base 1/2 Abase 1/2 Abase 1/2 Abase 1/2 Abase 1/2 Abase 1/2 Abase 1/2 Atotal 7/2 Alimit 3 Afail